<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-06-08T12:23:31Z</responseDate><request verb="GetRecord" identifier="oai:docta.ucm.es:20.500.14352/57170" metadataPrefix="marc">https://docta.ucm.es/rest/oai/request</request><GetRecord><record><header><identifier>oai:docta.ucm.es:20.500.14352/57170</identifier><datestamp>2023-08-27T07:00:29Z</datestamp><setSpec>com_20.500.14352_14</setSpec><setSpec>col_20.500.14352_15</setSpec></header><metadata><record xmlns="http://www.loc.gov/MARC21/slim" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.loc.gov/MARC21/slim http://www.loc.gov/standards/marcxml/schema/MARC21slim.xsd">
   <leader>00925njm 22002777a 4500</leader>
   <datafield ind2=" " ind1=" " tag="042">
      <subfield code="a">dc</subfield>
   </datafield>
   <datafield ind2=" " ind1=" " tag="720">
      <subfield code="a">Arrondo Esteban, Enrique</subfield>
      <subfield code="e">author</subfield>
   </datafield>
   <datafield ind2=" " ind1=" " tag="720">
      <subfield code="a">Graña Otero, Beatriz</subfield>
      <subfield code="e">author</subfield>
   </datafield>
   <datafield ind2=" " ind1=" " tag="260">
      <subfield code="c">1999</subfield>
   </datafield>
   <datafield ind2=" " ind1=" " tag="520">
      <subfield code="a">It is a famous result due to G. Horrocks [Proc. Lond. Math. Soc. (3) 14, 689-713 (1964; Zbl 0126.16801)] that line bundles on a projective space are the only indecomposable vector bundles without intermediate cohomology. This fact generalizes to quadric and grassmannians if we add cohomological conditions. In this paper the case of G(1, 4) is studied completely, and a characterization-classification of vector bundles on it without intermediate cohomology is obtained.</subfield>
   </datafield>
   <datafield ind1="8" ind2=" " tag="024">
      <subfield code="a">0021-8693</subfield>
   </datafield>
   <datafield ind1="8" ind2=" " tag="024">
      <subfield code="a">10.1006/jabr.1998.7700</subfield>
   </datafield>
   <datafield ind1="8" ind2=" " tag="024">
      <subfield code="a">https://hdl.handle.net/20.500.14352/57170</subfield>
   </datafield>
   <datafield ind1="8" ind2=" " tag="024">
      <subfield code="a">http://www.sciencedirect.com/science/article/pii/S0021869398977006</subfield>
   </datafield>
   <datafield ind2="0" ind1="0" tag="245">
      <subfield code="a">Vector bundles on G(1,4) without intermediate cohomology</subfield>
   </datafield>
</record></metadata></record></GetRecord></OAI-PMH>